10021222229201 has 2 divisors, whose sum is σ = 10021222229202. Its totient is φ = 10021222229200.

The previous prime is 10021222229149. The next prime is 10021222229219. The reversal of 10021222229201 is 10292222212001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7831887699601 + 2189334529600 = 2798551^2 + 1479640^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10021222229201 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10021222229261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010611114600 + 5010611114601.

It is an arithmetic number, because the mean of its divisors is an integer number (5010611114601).

Almost surely, 2^{10021222229201} is an apocalyptic number.

It is an amenable number.

10021222229201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021222229201 is an equidigital number, since it uses as much as digits as its factorization.

10021222229201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

It can be divided in two parts, 1002122 and 2229201, that added together give a palindrome (3231323).

The spelling of 10021222229201 in words is "ten trillion, twenty-one billion, two hundred twenty-two million, two hundred twenty-nine thousand, two hundred one".